Solve the radical equation, if possible. $$\sqrt [ 5 ] { 8 z + 3 } = \sqrt [ 5 ] { 5 z + 12 }$$
A) $\{ 3 \}$
B) $\{ - 3 \}$
C) $\{ 6 \}$
D) $\{ 0 \}$

Name: Solve the radical equation, if possible. \[\sqrt [ 5 ] { 8 z + 3 } = \sqrt [ 5 ] { 5 z + 12 }\] A) $\{ 3 \}$ B) $\{ - 3 \}$ C) $\{ 6 \}$ D) $\{ 0 \}$
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Quizplus · Accepted Answer

Since both sides of the equation are under a fifth root, you can set the insides equal to each other: $8z + 3 = 5z + 12$. Solving for $z$, you get $z = 3$.

Solve the Radical Equation, If Possible 8z+35=5z+125\sqrt [ 5 ] { 8 z + 3 } = \sqrt [ 5 ] { 5 z + 12 }58z+3​=55z+12​

Solve the Radical Equation, If Possible $\sqrt [ 5 ] { 8 z + 3 } = \sqrt [ 5 ] { 5 z + 12 }$